Length=8m 25cm
Breadth=6m 75cm
Height=4m 50cm
Then find its HCF
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Step-by-step explanation:
Length of the room = 8.25 m or 825 cm
Breadth of the room = 6.75 m = 675 cm
Height of the room = 4.50 m = 450 cm
We have to find the longest rod that can measure the three dimensions of the room exactly. For this, we have to find the Highest Common Factor of 825, 675 and 450.
Prime factorization of 825 = 3*5*5*11
Prime factorization of 675 = 3*3*3*5*5
Prime factorization = 450 = 2*3*3*5*5
Common factors = 3*5*5
H.C.F. = 75
Hence, H.C.F. of 825, 675 and 450 is 75
The length of the longest rod is 75 cm which can measure the three dimensions of the room exactly.
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